Search a number
-
+
6604044016 = 241997281797
BaseRepresentation
bin1100010011010000…
…11011011011110000
3122001020200012021211
412021220123123300
5102011113402031
63011151325504
7322440306433
oct61150333360
918036605254
106604044016
1128898a1019
121343820894
1381327c26b
1446912981a
15289ba3bb1
hex189a1b6f0

6604044016 has 80 divisors (see below), whose sum is σ = 13673187360. Its totient is φ = 3081093120.

The previous prime is 6604043951. The next prime is 6604044019. The reversal of 6604044016 is 6104404066.

It is a super-2 number, since 2×66040440162 = 87226794730530816512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6604044019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8285730 + ... + 8286526.

It is an arithmetic number, because the mean of its divisors is an integer number (170914842).

Almost surely, 26604044016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6604044016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836593680).

6604044016 is an abundant number, since it is smaller than the sum of its proper divisors (7069143344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6604044016 is a wasteful number, since it uses less digits than its factorization.

6604044016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6604044016 is about 81265.2694328887. The cubic root of 6604044016 is about 1876.1604919955.

The spelling of 6604044016 in words is "six billion, six hundred four million, forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 97 152 194 281 304 388 562 776 797 1124 1552 1594 1843 2248 3188 3686 4496 5339 6376 7372 10678 12752 14744 15143 21356 27257 29488 30286 42712 54514 60572 77309 85424 109028 121144 154618 218056 223957 242288 309236 436112 447914 517883 618472 895828 1035766 1236944 1468871 1791656 2071532 2937742 3583312 4143064 4255183 5875484 8286128 8510366 11750968 17020732 21723829 23501936 34041464 43447658 68082928 86895316 173790632 347581264 412752751 825505502 1651011004 3302022008 6604044016